OTC 5L 2s

Omnitetrachordal MOS scale
5L+2s
7 tones (3+1+3)

The classic diatonic scale (meantone, Pythagorean, superpyth). (1)

P = 2.2600167527 (L=9/8, s=256/243)

L = 171.43 to 240.00 cents (203.91 cents @ P)
s = 0.00 to 171.43 cents (90.22 cents @ P)

9/8 = L (171.43 to 240.00 cents)
4/3 = 2L+s (480.00 to 514.29 cents)
generator = 3L+s (685.71 to 720.00 cents)

notable EDOs: 12, 17, 19, 22, 26, 29, 31, etc.

symmetric mode: LsLLLsL

all modes:

	LLs L LLs		Ionian	5|1
	LsL L LsL		Dorian	3|3
	sLL L sLL		Phrygian	1|5
L LLs LLs			Lydian	6|0
L LsL LsL		LLs LLs L	Mixolydian	4|2
L sLL sLL		LsL LsL L	Aeolian	2|4
		sLL sLL L	Locrian	0|6

all modes in UDP order:

L LLs LLs			Lydian	6|0
	LLs L LLs		Ionian	5|1
L LsL LsL		LLs LLs L	Mixolydian	4|2
	LsL L LsL		Dorian	3|3
L sLL sLL		LsL LsL L	Aeolian	2|4
	sLL L sLL		Phrygian	1|5
		sLL sLL L	Locrian	0|6

See also

• Omnitetrachordality
• Gallery of omnitetrachordal scales

References

• (1) Noted as omnitetrachordal by Paul Erlich no later than 2002. See tuning-math list messages 3685 and 10987.